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Derivative is the process of finding rate of change of a quantity with respect to a variable and ‘Anti-derivative’ is the opposite of finding the derivative of a quantity. Finding the anti-derivative of a function is also called as the method of Integration and anti-derivative calculator tool can be used to find the value of it.

Using the above formula we get,

∫ f(x) dx = x

∫ f(x) dx = x

Derivative and anti-derivative are opposite to each other in the way that if quantity ‘a’ is

the derivative of ‘b’ then the anti-derivative of ‘a’ is the quantity ‘b’.

the derivative of ‘b’ then the anti-derivative of ‘a’ is the quantity ‘b’.

The derivative of the function, natural logarithm of x written as ln(x) is 1/x.

dx

Hence the anti-derivative which is the opposite of the derivative tells us that